On the solution of Poisson's equation for rapidly rotating stars

Astronomy and Astrophysics – Astrophysics

Scientific paper

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Astronomical Models, Finite Difference Theory, Poisson Equation, Stellar Gravitation, Stellar Rotation, Angular Velocity, Density Distribution, Gravitational Fields, Mathematical Models, Matrix Theory, Partial Differential Equations

Scientific paper

A two-dimensional finite-difference technique is applied to the problem
of finding the gravitational potential associated with an axisymmetric
density distribution. An evaluation of the effectiveness of the method
is given based on calculations of polytropic models with rapid
differential rotation.

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